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Office Online: PDF View Mode
After choosing Print, Office Online will render the document in a printer-friendly mode in Safari. With Word, it saves it and displays it as a PDF document. In Excel, there is an additional step where you will be prompted to display the document in a "Printer-Friendly View", after which you proceed to the next step.
iOS 7: Click on the Share Button in Safari
Next, in Safari, click on the Share button, which looks like a box with an upwards-pointing arrow on it, on the top left part of the screen. One of the share options is Print which is on the bottom row all the way to the right.
AirPrint Dialog in Safari
As you can see, I have an HP LaserJet 100 that has been detected by AirPrint.